# One-Sided Limits Question

1. Feb 13, 2013

### tsaitea

lim e^(1/(6-x))
x->6+

Was wondering how to solve for this limit analytically. I plotted it and see it going to 0, but that is not the answer in the book.

2. Feb 13, 2013

### SammyS

Staff Emeritus
Hello tsaitea. Welcome to PF !

What is $\displaystyle \lim_{x\to6^{+}}\,\frac{1}{6-x}\ ?$

3. Feb 13, 2013

### tsaitea

oh -infinity, but the answer is e^(17/3)?, maybe the book is wrong then?

4. Feb 13, 2013

### SammyS

Staff Emeritus
Actually $\displaystyle \ \ \lim_{x\to6^{+}}\,\frac{1}{6-x}=-\infty\ .$

If the problem you were given was to find $\displaystyle \ \ \lim_{x\to6^{+}}\,e^{1/(6-x)}\,,\$ then the book is wrong if it gives the answer as e^(17/3) . You were right in your original post to say the answer is zero.

5. Feb 13, 2013

### tsaitea

Okay, thanks so much!